多元函数微分学中基本概念之间的关系

多元函数微分学是高等数学教学的重点之一,理清其基本概念之间的相互关系对于认识多元函数的性态具有重要的意义。通过两个命题的证明及反例的构造,阐述多元函数微分学中几个重要概念之间的相互关系。     

增强碳/碳球锥切削中的最小热应力优化研究

对将增强碳/碳纤维块体切削成球锥外形的工艺,块体热膨胀系数异性轴指向可以极大地影响球锥热应力大小,存在优化设计的潜力。本文对增强碳/碳不同主轴方向弹性模量比值下的球锥最小热应力优化特性进行了研究,发现以1为界,不同模量对比关系下的优化特征是完全不同的。在本文加热条件下,当异性轴模量小于同性面模量时,优化曲线对温度场变化很敏感,以块体异性轴和球锥横截面成±42.9夹角时热应力最小;当异性轴模量大于同性面模量时,优化曲线随加热时间变化不大,以块体同性面与球锥对称轴平行或成小锐角时热应力最小。一般而言,工艺设计中应避免用模量大的主轴方向指向球锥对称轴方向。     

Properties of transit trajectory in the restricted three and four-body problem

In the restricted three-body problem if the Jacobi constant is just below the value corresponding to Lagrangian point only a little neck exists around the equilibrium point and capture trajectories are indicated as low-energy. Capture properties depend on the dynamics around these critical points and qualitative results can be obtained using linearized systems. In this paper, to study transit trajectory properties in the restricted three and four-body problem, the Earth–Moon–Sun–Satellite system is considered as example and studied using different models. In the circular restricted three-body problem (Earth–Moon–Satellite), transit, non transit and asymptotic trajectories, are easily identified by using the principal reference frame. Dynamics around Lagrangian point are then studied introducing the Moon eccentricity into the elliptical restricted three-body model. A preferential region for transit orbit is individuated and studied as a function of eigenvalue properties. To introduce the Sun effect, the bi-circular four-body model is considered and dynamics around Lagrangian points studied as a function of angular distance between Earth–Sun and Earth–Moon line. Finally, results obtained in the elliptical three-body model and bi-circular four-body model, are compared with numerical simulations using real Sun–Moon–Earth ephemeris.     

Study of the 28 October 2003 and 20 January 2005 solar flares by means of 2.223 MeV gamma-emission line

By the data on intensity-time profiles of the neutron capture line of 2.223 MeV we have studied some characteristics of two solar flares, 28 October 2003 and 20 January 2005 (INTEGRAL and CORONAS-F observations, respectively). The SINP code was applied making allowance for the main processes of neutron interactions and deceleration in the solar plasma, character of neutron source, losses of neutrons and density model of the solar atmosphere. Comparison of the computed time profiles of 2.223 MeV line with observed ones for the flare of 28 October 2003 confirms the results obtained earlier for three other flares. Namely, the effect of density enhancement (EDE) in the sub-flare region, as well as the variations (hardening) of accelerated particle spectrum in the course of the event have been confirmed. The usual modeling procedure by the SINP code, however, seems to be inapplicable to the event of 20 January 2005. Possible causes of density enhancements during some flares and peculiarities of the 20 January 2005 flare are discussed.     

Contingency and recovery options for the European Student Moon Orbiter

This paper presents an overview of the analysis performed on the lunar orbit and some of the possible contingencies for the European Student Moon Orbiter (ESMO). Originally scheduled for launch in 2014 –2015 as a piggyback payload, it was the only ESA planned mission to the Moon. By way of a weak stability boundary transfer, ESMO is inserted into an orbit around the Moon. Propellant use is at a premium, so the operational orbit is selected to be highly eccentric. In addition, an optimization is presented to achieve an orbit that is stable for 6 months without requiring orbit maintenance. A parameter study is undertaken to study the sensitivity of the lunar orbit insertion. A database of transfer solutions across 2014 and 2015 is used to study the relation between the robustness of weak capture and the planetary geometry at lunar arrival. A number of example recovery scenarios, where the orbit insertion maneuver partially or completely fails, are also considered.     

基于落点预测的高旋火箭弹弹道修正算法

高旋火箭弹的修正控制是基于等效力实现的二维弹道修正控制，由于弹体存在陀螺进动和马格努斯效应，在控制力作用下产生的附加攻角引起的升力与控制力的矢量合为等效力，其大小与方向在控制过程中不断变化，不能简单根据偏差量（修正量）的比例关系来确定控制力的方向。基于此，分析了控制力与等效力的关系，提出了一种基于弹道落点预测的控制算法。首先利用弹道落点预测模型实时预测落点与目标的偏差量，然后利用小扰动法构造偏差量对控制量的敏感系数矩阵，通过偏差量与敏感系数矩阵解算出纵、横两个方向的需用控制量。采用修正前后速度矢量的位置关系得到控制量的合矢量及其方位角，并利用控制量的合矢量与等效力计算出控制周期，在控制周期内按照等效力方位角调整控制力的方向实现对高旋火箭弹的精确控制，解决了非线性耦合问题。仿真结果表明该算法具有较高的控制精度，为工程应用提供理论依据。     

梳状电容式微加速度计温度性能优化

零偏温度漂移是影响高精度MEMS加速度计整体性能的关键指标，敏感结构机械零位的温度漂移和电路零位(电容检测电路）的温度漂移是加速度计零偏温度漂移的直接原因。分析了影响加速度计零偏温度系数的3种主要影响因素，提出了某型加速度计伺服电路温度性能测试筛选方法，有效减小了电路零位的温度漂移。采用了全硅表头，同时对表头封装粘接方式进行优化，大幅减小了表头机械零位的温度漂移。经过这些优化措施后，加速度计的温度性能得到了明显改善，零偏温度系数由1.3mg/℃减小到0.5mg/℃，零偏的常温稳定性(1h）达到0.108mg，重复性(6次）达到0.141mg。     

Crop parameters estimation by fuzzy inference system using X-band scatterometer data

Learning fuzzy rule based systems with microwave remote sensing can lead to very useful applications in solving several problems in the field of agriculture. Fuzzy logic provides a simple way to arrive at a definite conclusion based upon imprecise, ambiguous, vague, noisy or missing input information. In the present paper, a subtractive based fuzzy inference system is introduced to estimate the potato crop parameters like biomass, leaf area index, plant height and soil moisture. Scattering coefficient for HH- and VV-polarizations were used as an input in the Fuzzy network. The plant height, biomass, and leaf area index of potato crop and soil moisture measured at its various growth stages were used as the target variables during the training and validation of the network. The estimated values of crop/soil parameters by this methodology are much closer to the experimental values. The present work confirms the estimation abilities of fuzzy subtractive clustering in potato crop parameters estimation. This technique may be useful for the other crops cultivated over regional or continental level.     

基于仿真分析的压铆力预测模型

铆接是飞机结构机械连接的主要方式,压铆力作为影响铆接质量的重要因素,传统的计算方法通常是建立在体积不变的假设之上,且不考虑钉杆材料被压入钉孔部分的体积,导致模型误差较大。为此,依据仿真分析结果和铆钉材料的流动趋势,引入体积缩减系数来描述钉杆被压入钉孔部分的体积,建立压铆力预测模型,并与已有的试验数据进行对比,结果表明计算值与试验值的一致性较好,该模型可以用来预测铆接过程中压铆力的大小。     

Electrochemical micromachining of microgroove arrays on phosphor bronze surface for improving the tribological performance

A high friction coefficient and a low wear rate of contacted surfaces are essential elements to friction pairs between the stator and the rotor in ultrasonic motors. It has been shown that surface textures have a significant effect on improving the tribological performance of friction pairs.In this paper, microgroove arrays are introduced to the stator surface for improving the tribological performance of friction pairs between the stator and the rotor in ultrasonic motors. Microgrooves were fabricated on a phosphor bronze surface by through-mask electrochemical micromachining(TMEMM). Parameters, namely, the electrolyte inlet pressure, applied voltage, pulse duty cycle,and frequency, were varied to investigate their influences on the dimensions and morphology of the microgrooves. Results showed that the width and depth of the microgrooves were strongly affected by the applied voltage and frequency, while the morphology of the microgrooves was dependent on the electrolyte inlet pressure and the pulse duty cycle. Compared with a smooth surface, the friction coefficient increased from 0.245 to 0.334 and less abrasion was obtained when a surface was textured with microgrooves of which the width and depth were 185.6 and 57.6 lm,respectively. Microgroove arrays might play an important role in enhancing the performance of ultrasonic motors.